基于特征结构配置的系统状态与输出控制

动态系统的反馈控制目的之一是获得期望的状态或输出动态特性.本文研究通过状态反馈特征结构配置使系统状态或输出实现这样的期望特性.首先通过矩阵的实约旦标准型与系统初值的选取获得系统状态不同的模态形式;然后给出状态反馈使系统特征根均为实根与含复根的实特征结构配置的参数化结果;进而在给定初值的情况下,通过调整特征向量矩阵的参数与新的输入获得系统状态或输出的期望特性.数值算例说明了所给的方法可以实现期望的状态或输出性能.

State and output control for linear systems based on eigenstructure assignment

One of the aims for feedback control of dynamic systems is to obtain a desired state or output dynamics. This paper studies the state feedback eigeustrueture assignment of the system to achieve the desired state and output property. First the different mode of states can be obtained by the real Jordan standard form of the matrix and the selection of the initial value of the system. Then the parametrization of the real eigenstructure assignment is given for the state feedback such that the system eigenvalues are real orcontain complex roots. Moreover, under the given initial value, the desired properties of states or outputs of the system can be obtained by adjusting the parameters of the eigenvector matrix and the new inputs. A numerical example illustrates that the proposed method can realize desired state or output performances.